Question

if vw = 7u - 89 and vy = u + 25, find the value of u in parallelogram wxyz.

Explanation:

Step1: Use parallelogram diagonal property

In a parallelogram, diagonals bisect each other, so $VW = VY$.

Step2: Set up equation

Substitute the given expressions:
$7u - 89 = u + 25$

Step3: Isolate variable terms

Subtract $u$ from both sides:
$7u - u - 89 = 25$
$6u - 89 = 25$

Step4: Isolate the variable

Add 89 to both sides, then divide by 6:
$6u = 25 + 89$
$6u = 114$
$u = \frac{114}{6}$

Answer:

$u = 19$